Python-Numerical-Methods

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This repository contains Python implementations of various numerical methods, as practiced in the Fourth Semester M.Sc. Mathematics Lab course (Elective-07: Computer Oriented Numerical Analysis) during 2017-2019.

Contents

The programs are categorized into two parts:

Part A - Root Finding, Interpolation, Differentiation, and Integration

1. Bisection Method
2. Newton-Raphson Method
3. Lagrange Interpolation
4. Newton’s Interpolation
5. Numerical Differentiation (Continuous Function)
6. Numerical Differentiation (Tabulated Function)
7. Trapezoidal Rule of Integration
8. Simpson’s Rule of Integration

Part B - Solving Linear Systems and ODEs

9. Gauss Elimination with Pivoting
10. Gauss-Seidel Iteration
11. Euler’s Method
12. Runge-Kutta Method of Order 2
13. Runge-Kutta Method of Order 4
14. Eigenvalue Evaluation